Definition 4.4 (Norm \(\mathcal {Y}_p(\mathcal {Q})\) , [1]}) 
For \(p\in [1,\,\infty ]\) , define \(\mathcal {Y}_p(\mathcal {Q})\)  as the subspace of \(L^p(\mathbb {R}^d)\)  of functions satisfying \({\rm supp}\,h\subset 3Q\)  and \(\Vert h\Vert _{\mathcal {Y}_p(\mathcal {Q})}<\infty \) , where
\( \Vert h\Vert _{\mathcal {Y}_p(\mathcal {Q})}=\Bigg \lbrace \begin{array}{ll}\max \big \lbrace \Vert h\chi _{\mathbb {R}^d\backslash {\rm sh}\mathcal {Q}}\Vert _{L^{\infty }(\mathbb {R}^d)},\,\,\sup _{\mathbb {L}\in \mathcal {Q}}\inf _{x\in \mathbb {L}^*}M_ph(x)\big \rbrace ,\,\,&p\in [1,\,\infty )\\\Vert h\Vert _{L^{\infty }(\mathbb {R}^d)},\,&p=\infty ,\end{array}\) 
